Finding the Third Proportional to 345,870 and 534,150

Step by Step Solution

1. Step 1: Write the proportion equation
   345,870 : 534,150 = 534,150 : x
2. Step 2: Convert to fraction form
   345,870/534,150 = 534,150/x
3. Step 3: Cross multiply
   345,870x = 534,150 × 534,150
4. Step 4: Simplify right side
   345,870x = 285,316,222,500
5. Step 5: Solve for x
   x = 285,316,222,500/345,870
6. Step 6: Final answer
   x = 824,923.30